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Finding the Fourth Proportional to 3,497.40, 5,220.45 and 3,060

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Solution

The fourth proportional to 3,497.40, 5,220.45 and 3,060 is: 4,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,220.45 = 3,060 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,220.45 = 3,060/x
  3. Step 3: Cross multiply
    3,497.40x = 5,220.45 × 3,060
  4. Step 4: Simplify right side
    3,497.40x = 15,974,577
  5. Step 5: Solve for x
    x = 15,974,577/3,497.40
  6. Step 6: Final answer
    x = 4,567.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.